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What is the Least Common Multiple of 47863 and 47875?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 47863 and 47875 is 2291441125.

LCM(47863,47875) = 2291441125

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Least Common Multiple of 47863 and 47875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47863 and 47875, than apply into the LCM equation.

GCF(47863,47875) = 1
LCM(47863,47875) = ( 47863 × 47875) / 1
LCM(47863,47875) = 2291441125 / 1
LCM(47863,47875) = 2291441125

Least Common Multiple (LCM) of 47863 and 47875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47863 and 47875. First we will calculate the prime factors of 47863 and 47875.

Prime Factorization of 47863

Prime factors of 47863 are 23, 2081. Prime factorization of 47863 in exponential form is:

47863 = 231 × 20811

Prime Factorization of 47875

Prime factors of 47875 are 5, 383. Prime factorization of 47875 in exponential form is:

47875 = 53 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 47863 and 47875.

LCM(47863,47875) = 231 × 20811 × 53 × 3831
LCM(47863,47875) = 2291441125